SOLUTION: verify the idenity sec^4x – sec^2x = tan^4x + tan^2x''

Algebra.Com
Question 433555: verify the idenity
sec^4x – sec^2x = tan^4x + tan^2x''

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!

To do this one we need the identity 
 and its rearranged version 



Factor common factor  out of the left side



Replace the first factor on the left, , by 

Replace the second factor on the left,  by 




Multiply the left side out:



Reverse the terms on the left



Edwin


RELATED QUESTIONS

prove the idenity true... (answered by lwsshak3)
verify the idenity sec^2x – csc^2x = (tan x – cot x)/(sinx*cosx) (answered by Alan3354)
verify the idenity sec^2x – csc^2x = (tan x – cot... (answered by Edwin McCravy)
verify identinty sec^4x – (tan^4x + sec^2x) = sec^2x · sin^2x (answered by Alan3354)
sec^4x – sec^2x = tan^4x +... (answered by Alan3354)
Show that... (answered by MathLover1)
Show that tan^2x - sin^2x=sin^4x(sec^2x) Where x is an... (answered by Alan3354)
please help me prove this equation:... (answered by vicgonzerx)
I need help with verifying this trig identity. The problem is sec^4x-tan^4x / sec^2+... (answered by solver91311)